Question:
Using elementary row transformations, find the inverse of each of the following matrices:
$\left[\begin{array}{ccc}2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2\end{array}\right]$
Solution:
Let, $A=\left[\begin{array}{ccc}2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2\end{array}\right]$
Now we are going to write the Augmented Matrix followed by matrix A and the Identity matrix I, i.e.,
